\int \frac{\cos x+x \sin x}{x^{2}+x \cos x} d x is equal to

Correct Answer is : log|x∣x+cosx|+c

\log |\frac{\sin x}{1+\cos x}|+c

\log |\frac{\sin x}{∣ x+\cos x}|+c

\log |\frac{2 \sin x}{∣ x+\cos x}|+c

\log |\frac{x \sin x}{∣ x+\cos x}|+c

\log |\frac{x}{∣ x+\cos x}|+c

KEAM 2010 Math Paper

Question : 48 of 120

Marks: +1, -0

∫‌

cos‌x+x‌sin‌x

x2+x‌cos‌x

dx is equal to

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